4(y-2)-7=-3(-6+1)-4y

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Solution for 4(y-2)-7=-3(-6+1)-4y equation: 


Simplifying
4(y + -2) + -7 = -3(-6 + 1) + -4y

Reorder the terms:
4(-2 + y) + -7 = -3(-6 + 1) + -4y
(-2 * 4 + y * 4) + -7 = -3(-6 + 1) + -4y
(-8 + 4y) + -7 = -3(-6 + 1) + -4y

Reorder the terms:
-8 + -7 + 4y = -3(-6 + 1) + -4y

Combine like terms: -8 + -7 = -15
-15 + 4y = -3(-6 + 1) + -4y

Combine like terms: -6 + 1 = -5
-15 + 4y = -3(-5) + -4y

Multiply -3 * -5
-15 + 4y = 15 + -4y

Solving
-15 + 4y = 15 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-15 + 4y + 4y = 15 + -4y + 4y

Combine like terms: 4y + 4y = 8y
-15 + 8y = 15 + -4y + 4y

Combine like terms: -4y + 4y = 0
-15 + 8y = 15 + 0
-15 + 8y = 15

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

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

Combine like terms: 15 + 15 = 30
8y = 30

Divide each side by '8'.
y = 3.75

Simplifying
y = 3.75

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