-45+5y+3=2(4y-4)-7

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Solution for -45+5y+3=2(4y-4)-7 equation:


Simplifying
-45 + 5y + 3 = 2(4y + -4) + -7

Reorder the terms:
-45 + 3 + 5y = 2(4y + -4) + -7

Combine like terms: -45 + 3 = -42
-42 + 5y = 2(4y + -4) + -7

Reorder the terms:
-42 + 5y = 2(-4 + 4y) + -7
-42 + 5y = (-4 * 2 + 4y * 2) + -7
-42 + 5y = (-8 + 8y) + -7

Reorder the terms:
-42 + 5y = -8 + -7 + 8y

Combine like terms: -8 + -7 = -15
-42 + 5y = -15 + 8y

Solving
-42 + 5y = -15 + 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.
-42 + 5y + -8y = -15 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-42 + -3y = -15 + 8y + -8y

Combine like terms: 8y + -8y = 0
-42 + -3y = -15 + 0
-42 + -3y = -15

Add '42' to each side of the equation.
-42 + 42 + -3y = -15 + 42

Combine like terms: -42 + 42 = 0
0 + -3y = -15 + 42
-3y = -15 + 42

Combine like terms: -15 + 42 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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