7(2-y)+11(y-4)-10=

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Solution for 7(2-y)+11(y-4)-10= equation:


Simplifying
7(2 + -1y) + 11(y + -4) + -10 = 0
(2 * 7 + -1y * 7) + 11(y + -4) + -10 = 0
(14 + -7y) + 11(y + -4) + -10 = 0

Reorder the terms:
14 + -7y + 11(-4 + y) + -10 = 0
14 + -7y + (-4 * 11 + y * 11) + -10 = 0
14 + -7y + (-44 + 11y) + -10 = 0

Reorder the terms:
14 + -44 + -10 + -7y + 11y = 0

Combine like terms: 14 + -44 = -30
-30 + -10 + -7y + 11y = 0

Combine like terms: -30 + -10 = -40
-40 + -7y + 11y = 0

Combine like terms: -7y + 11y = 4y
-40 + 4y = 0

Solving
-40 + 4y = 0

Solving for variable 'y'.

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

Add '40' to each side of the equation.
-40 + 40 + 4y = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 4y = 0 + 40
4y = 0 + 40

Combine like terms: 0 + 40 = 40
4y = 40

Divide each side by '4'.
y = 10

Simplifying
y = 10

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