-35+10y+6=4(3y-4)-5

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Solution for -35+10y+6=4(3y-4)-5 equation:


Simplifying
-35 + 10y + 6 = 4(3y + -4) + -5

Reorder the terms:
-35 + 6 + 10y = 4(3y + -4) + -5

Combine like terms: -35 + 6 = -29
-29 + 10y = 4(3y + -4) + -5

Reorder the terms:
-29 + 10y = 4(-4 + 3y) + -5
-29 + 10y = (-4 * 4 + 3y * 4) + -5
-29 + 10y = (-16 + 12y) + -5

Reorder the terms:
-29 + 10y = -16 + -5 + 12y

Combine like terms: -16 + -5 = -21
-29 + 10y = -21 + 12y

Solving
-29 + 10y = -21 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-29 + 10y + -12y = -21 + 12y + -12y

Combine like terms: 10y + -12y = -2y
-29 + -2y = -21 + 12y + -12y

Combine like terms: 12y + -12y = 0
-29 + -2y = -21 + 0
-29 + -2y = -21

Add '29' to each side of the equation.
-29 + 29 + -2y = -21 + 29

Combine like terms: -29 + 29 = 0
0 + -2y = -21 + 29
-2y = -21 + 29

Combine like terms: -21 + 29 = 8
-2y = 8

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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