3(y-2)+15=-5(q-7)-10

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Solution for 3(y-2)+15=-5(q-7)-10 equation: 


Simplifying
3(y + -2) + 15 = -5(q + -7) + -10

Reorder the terms:
3(-2 + y) + 15 = -5(q + -7) + -10
(-2 * 3 + y * 3) + 15 = -5(q + -7) + -10
(-6 + 3y) + 15 = -5(q + -7) + -10

Reorder the terms:
-6 + 15 + 3y = -5(q + -7) + -10

Combine like terms: -6 + 15 = 9
9 + 3y = -5(q + -7) + -10

Reorder the terms:
9 + 3y = -5(-7 + q) + -10
9 + 3y = (-7 * -5 + q * -5) + -10
9 + 3y = (35 + -5q) + -10

Reorder the terms:
9 + 3y = 35 + -10 + -5q

Combine like terms: 35 + -10 = 25
9 + 3y = 25 + -5q

Solving
9 + 3y = 25 + -5q

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 3y = 25 + -9 + -5q

Combine like terms: 9 + -9 = 0
0 + 3y = 25 + -9 + -5q
3y = 25 + -9 + -5q

Combine like terms: 25 + -9 = 16
3y = 16 + -5q

Divide each side by '3'.
y = 5.333333333 + -1.666666667q

Simplifying
y = 5.333333333 + -1.666666667q

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