15-3y+2y=-4(2y+3)+62

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Solution for 15-3y+2y=-4(2y+3)+62 equation:


Simplifying
15 + -3y + 2y = -4(2y + 3) + 62

Combine like terms: -3y + 2y = -1y
15 + -1y = -4(2y + 3) + 62

Reorder the terms:
15 + -1y = -4(3 + 2y) + 62
15 + -1y = (3 * -4 + 2y * -4) + 62
15 + -1y = (-12 + -8y) + 62

Reorder the terms:
15 + -1y = -12 + 62 + -8y

Combine like terms: -12 + 62 = 50
15 + -1y = 50 + -8y

Solving
15 + -1y = 50 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
15 + -1y + 8y = 50 + -8y + 8y

Combine like terms: -1y + 8y = 7y
15 + 7y = 50 + -8y + 8y

Combine like terms: -8y + 8y = 0
15 + 7y = 50 + 0
15 + 7y = 50

Add '-15' to each side of the equation.
15 + -15 + 7y = 50 + -15

Combine like terms: 15 + -15 = 0
0 + 7y = 50 + -15
7y = 50 + -15

Combine like terms: 50 + -15 = 35
7y = 35

Divide each side by '7'.
y = 5

Simplifying
y = 5

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