7-8(-7y+1)=-4(-4y+9)+7

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Solution for 7-8(-7y+1)=-4(-4y+9)+7 equation:


Simplifying
7 + -8(-7y + 1) = -4(-4y + 9) + 7

Reorder the terms:
7 + -8(1 + -7y) = -4(-4y + 9) + 7
7 + (1 * -8 + -7y * -8) = -4(-4y + 9) + 7
7 + (-8 + 56y) = -4(-4y + 9) + 7

Combine like terms: 7 + -8 = -1
-1 + 56y = -4(-4y + 9) + 7

Reorder the terms:
-1 + 56y = -4(9 + -4y) + 7
-1 + 56y = (9 * -4 + -4y * -4) + 7
-1 + 56y = (-36 + 16y) + 7

Reorder the terms:
-1 + 56y = -36 + 7 + 16y

Combine like terms: -36 + 7 = -29
-1 + 56y = -29 + 16y

Solving
-1 + 56y = -29 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-1 + 56y + -16y = -29 + 16y + -16y

Combine like terms: 56y + -16y = 40y
-1 + 40y = -29 + 16y + -16y

Combine like terms: 16y + -16y = 0
-1 + 40y = -29 + 0
-1 + 40y = -29

Add '1' to each side of the equation.
-1 + 1 + 40y = -29 + 1

Combine like terms: -1 + 1 = 0
0 + 40y = -29 + 1
40y = -29 + 1

Combine like terms: -29 + 1 = -28
40y = -28

Divide each side by '40'.
y = -0.7

Simplifying
y = -0.7

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