-7=-2y+4(-y+9)-7(4-3y)

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Solution for -7=-2y+4(-y+9)-7(4-3y) equation: 


Simplifying
-7 = -2y + 4(-1y + 9) + -7(4 + -3y)

Reorder the terms:
-7 = -2y + 4(9 + -1y) + -7(4 + -3y)
-7 = -2y + (9 * 4 + -1y * 4) + -7(4 + -3y)
-7 = -2y + (36 + -4y) + -7(4 + -3y)
-7 = -2y + 36 + -4y + (4 * -7 + -3y * -7)
-7 = -2y + 36 + -4y + (-28 + 21y)

Reorder the terms:
-7 = 36 + -28 + -2y + -4y + 21y

Combine like terms: 36 + -28 = 8
-7 = 8 + -2y + -4y + 21y

Combine like terms: -2y + -4y = -6y
-7 = 8 + -6y + 21y

Combine like terms: -6y + 21y = 15y
-7 = 8 + 15y

Solving
-7 = 8 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-7 + -15y = 8 + 15y + -15y

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

Add '7' to each side of the equation.
-7 + 7 + -15y = 8 + 7

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

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

Divide each side by '-15'.
y = -1

Simplifying
y = -1

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