$$3y+4y-2y+2y-3z=87$$
$y=\frac{3\left(z+29\right)}{7}$
$$7y-2y+2y-3z=87$$
$$5y+2y-3z=87$$
$$7y-3z=87$$
$$7y=87+3z$$
$$7y=3z+87$$
$$\frac{7y}{7}=\frac{3z+87}{7}$$
$$y=\frac{3z+87}{7}$$
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$z=\frac{7y}{3}-29$
$$-3z=87-7y$$
$$\frac{-3z}{-3}=\frac{87-7y}{-3}$$
$$z=\frac{87-7y}{-3}$$
$$z=\frac{7y}{3}-29$$
