-19(y+2)+6(4y-3)=4(y-6)+13

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Solution for -19(y+2)+6(4y-3)=4(y-6)+13 equation:


Simplifying
-19(y + 2) + 6(4y + -3) = 4(y + -6) + 13

Reorder the terms:
-19(2 + y) + 6(4y + -3) = 4(y + -6) + 13
(2 * -19 + y * -19) + 6(4y + -3) = 4(y + -6) + 13
(-38 + -19y) + 6(4y + -3) = 4(y + -6) + 13

Reorder the terms:
-38 + -19y + 6(-3 + 4y) = 4(y + -6) + 13
-38 + -19y + (-3 * 6 + 4y * 6) = 4(y + -6) + 13
-38 + -19y + (-18 + 24y) = 4(y + -6) + 13

Reorder the terms:
-38 + -18 + -19y + 24y = 4(y + -6) + 13

Combine like terms: -38 + -18 = -56
-56 + -19y + 24y = 4(y + -6) + 13

Combine like terms: -19y + 24y = 5y
-56 + 5y = 4(y + -6) + 13

Reorder the terms:
-56 + 5y = 4(-6 + y) + 13
-56 + 5y = (-6 * 4 + y * 4) + 13
-56 + 5y = (-24 + 4y) + 13

Reorder the terms:
-56 + 5y = -24 + 13 + 4y

Combine like terms: -24 + 13 = -11
-56 + 5y = -11 + 4y

Solving
-56 + 5y = -11 + 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.
-56 + 5y + -4y = -11 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-56 + 1y = -11 + 4y + -4y

Combine like terms: 4y + -4y = 0
-56 + 1y = -11 + 0
-56 + 1y = -11

Add '56' to each side of the equation.
-56 + 56 + 1y = -11 + 56

Combine like terms: -56 + 56 = 0
0 + 1y = -11 + 56
1y = -11 + 56

Combine like terms: -11 + 56 = 45
1y = 45

Divide each side by '1'.
y = 45

Simplifying
y = 45

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