-4(3y+5)-10=-6(y+7)+3y

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Solution for -4(3y+5)-10=-6(y+7)+3y equation:


Simplifying
-4(3y + 5) + -10 = -6(y + 7) + 3y

Reorder the terms:
-4(5 + 3y) + -10 = -6(y + 7) + 3y
(5 * -4 + 3y * -4) + -10 = -6(y + 7) + 3y
(-20 + -12y) + -10 = -6(y + 7) + 3y

Reorder the terms:
-20 + -10 + -12y = -6(y + 7) + 3y

Combine like terms: -20 + -10 = -30
-30 + -12y = -6(y + 7) + 3y

Reorder the terms:
-30 + -12y = -6(7 + y) + 3y
-30 + -12y = (7 * -6 + y * -6) + 3y
-30 + -12y = (-42 + -6y) + 3y

Combine like terms: -6y + 3y = -3y
-30 + -12y = -42 + -3y

Solving
-30 + -12y = -42 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-30 + -12y + 3y = -42 + -3y + 3y

Combine like terms: -12y + 3y = -9y
-30 + -9y = -42 + -3y + 3y

Combine like terms: -3y + 3y = 0
-30 + -9y = -42 + 0
-30 + -9y = -42

Add '30' to each side of the equation.
-30 + 30 + -9y = -42 + 30

Combine like terms: -30 + 30 = 0
0 + -9y = -42 + 30
-9y = -42 + 30

Combine like terms: -42 + 30 = -12
-9y = -12

Divide each side by '-9'.
y = 1.333333333

Simplifying
y = 1.333333333

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