8(2y+5)=7(y+3)-15

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Solution for 8(2y+5)=7(y+3)-15 equation:


Simplifying
8(2y + 5) = 7(y + 3) + -15

Reorder the terms:
8(5 + 2y) = 7(y + 3) + -15
(5 * 8 + 2y * 8) = 7(y + 3) + -15
(40 + 16y) = 7(y + 3) + -15

Reorder the terms:
40 + 16y = 7(3 + y) + -15
40 + 16y = (3 * 7 + y * 7) + -15
40 + 16y = (21 + 7y) + -15

Reorder the terms:
40 + 16y = 21 + -15 + 7y

Combine like terms: 21 + -15 = 6
40 + 16y = 6 + 7y

Solving
40 + 16y = 6 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
40 + 16y + -7y = 6 + 7y + -7y

Combine like terms: 16y + -7y = 9y
40 + 9y = 6 + 7y + -7y

Combine like terms: 7y + -7y = 0
40 + 9y = 6 + 0
40 + 9y = 6

Add '-40' to each side of the equation.
40 + -40 + 9y = 6 + -40

Combine like terms: 40 + -40 = 0
0 + 9y = 6 + -40
9y = 6 + -40

Combine like terms: 6 + -40 = -34
9y = -34

Divide each side by '9'.
y = -3.777777778

Simplifying
y = -3.777777778

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