5(7+4)-2(1-3y)=11y-7

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Solution for 5(7+4)-2(1-3y)=11y-7 equation:


Simplifying
5(7 + 4) + -2(1 + -3y) = 11y + -7

Combine like terms: 7 + 4 = 11
5(11) + -2(1 + -3y) = 11y + -7

Multiply 5 * 11
55 + -2(1 + -3y) = 11y + -7
55 + (1 * -2 + -3y * -2) = 11y + -7
55 + (-2 + 6y) = 11y + -7

Combine like terms: 55 + -2 = 53
53 + 6y = 11y + -7

Reorder the terms:
53 + 6y = -7 + 11y

Solving
53 + 6y = -7 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
53 + 6y + -11y = -7 + 11y + -11y

Combine like terms: 6y + -11y = -5y
53 + -5y = -7 + 11y + -11y

Combine like terms: 11y + -11y = 0
53 + -5y = -7 + 0
53 + -5y = -7

Add '-53' to each side of the equation.
53 + -53 + -5y = -7 + -53

Combine like terms: 53 + -53 = 0
0 + -5y = -7 + -53
-5y = -7 + -53

Combine like terms: -7 + -53 = -60
-5y = -60

Divide each side by '-5'.
y = 12

Simplifying
y = 12

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