5(3y+7)-4y=13

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Solution for 5(3y+7)-4y=13 equation:


Simplifying
5(3y + 7) + -4y = 13

Reorder the terms:
5(7 + 3y) + -4y = 13
(7 * 5 + 3y * 5) + -4y = 13
(35 + 15y) + -4y = 13

Combine like terms: 15y + -4y = 11y
35 + 11y = 13

Solving
35 + 11y = 13

Solving for variable 'y'.

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

Add '-35' to each side of the equation.
35 + -35 + 11y = 13 + -35

Combine like terms: 35 + -35 = 0
0 + 11y = 13 + -35
11y = 13 + -35

Combine like terms: 13 + -35 = -22
11y = -22

Divide each side by '11'.
y = -2

Simplifying
y = -2

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