7(2y+5)=3y+7

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Solution for 7(2y+5)=3y+7 equation:


Simplifying
7(2y + 5) = 3y + 7

Reorder the terms:
7(5 + 2y) = 3y + 7
(5 * 7 + 2y * 7) = 3y + 7
(35 + 14y) = 3y + 7

Reorder the terms:
35 + 14y = 7 + 3y

Solving
35 + 14y = 7 + 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.
35 + 14y + -3y = 7 + 3y + -3y

Combine like terms: 14y + -3y = 11y
35 + 11y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
35 + 11y = 7 + 0
35 + 11y = 7

Add '-35' to each side of the equation.
35 + -35 + 11y = 7 + -35

Combine like terms: 35 + -35 = 0
0 + 11y = 7 + -35
11y = 7 + -35

Combine like terms: 7 + -35 = -28
11y = -28

Divide each side by '11'.
y = -2.545454545

Simplifying
y = -2.545454545

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