Solve 18y - 12y + 4y - 2y | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$18y-12y+4y-2y$$

Evaluate

$8y$

Solution Steps

Combine $18y$ and $-12y$ to get $6y$.

$$6y+4y-2y$$

Combine $6y$ and $4y$ to get $10y$.

$$10y-2y$$

Combine $10y$ and $-2y$ to get $8y$.

$$8y$$

Differentiate w.r.t. y

$8$

Steps Using Definition of a Derivative

Combine $18y$ and $-12y$ to get $6y$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6y+4y-2y)$$

Combine $6y$ and $4y$ to get $10y$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(10y-2y)$$

Combine $10y$ and $-2y$ to get $8y$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(8y)$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$8y^{1-1}$$

Subtract $1$ from $1$.

$$8y^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$8\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$8$$