-19(y+2)+6(4y-6)=4(y-4)+12

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Solution for -19(y+2)+6(4y-6)=4(y-4)+12 equation:


Simplifying
-19(y + 2) + 6(4y + -6) = 4(y + -4) + 12

Reorder the terms:
-19(2 + y) + 6(4y + -6) = 4(y + -4) + 12
(2 * -19 + y * -19) + 6(4y + -6) = 4(y + -4) + 12
(-38 + -19y) + 6(4y + -6) = 4(y + -4) + 12

Reorder the terms:
-38 + -19y + 6(-6 + 4y) = 4(y + -4) + 12
-38 + -19y + (-6 * 6 + 4y * 6) = 4(y + -4) + 12
-38 + -19y + (-36 + 24y) = 4(y + -4) + 12

Reorder the terms:
-38 + -36 + -19y + 24y = 4(y + -4) + 12

Combine like terms: -38 + -36 = -74
-74 + -19y + 24y = 4(y + -4) + 12

Combine like terms: -19y + 24y = 5y
-74 + 5y = 4(y + -4) + 12

Reorder the terms:
-74 + 5y = 4(-4 + y) + 12
-74 + 5y = (-4 * 4 + y * 4) + 12
-74 + 5y = (-16 + 4y) + 12

Reorder the terms:
-74 + 5y = -16 + 12 + 4y

Combine like terms: -16 + 12 = -4
-74 + 5y = -4 + 4y

Solving
-74 + 5y = -4 + 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.
-74 + 5y + -4y = -4 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-74 + 1y = -4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-74 + 1y = -4 + 0
-74 + 1y = -4

Add '74' to each side of the equation.
-74 + 74 + 1y = -4 + 74

Combine like terms: -74 + 74 = 0
0 + 1y = -4 + 74
1y = -4 + 74

Combine like terms: -4 + 74 = 70
1y = 70

Divide each side by '1'.
y = 70

Simplifying
y = 70

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