7(2y+1)=3(7+5y)

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


Simplifying
7(2y + 1) = 3(7 + 5y)

Reorder the terms:
7(1 + 2y) = 3(7 + 5y)
(1 * 7 + 2y * 7) = 3(7 + 5y)
(7 + 14y) = 3(7 + 5y)
7 + 14y = (7 * 3 + 5y * 3)
7 + 14y = (21 + 15y)

Solving
7 + 14y = 21 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
7 + 14y + -15y = 21 + 15y + -15y

Combine like terms: 14y + -15y = -1y
7 + -1y = 21 + 15y + -15y

Combine like terms: 15y + -15y = 0
7 + -1y = 21 + 0
7 + -1y = 21

Add '-7' to each side of the equation.
7 + -7 + -1y = 21 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 21 + -7
-1y = 21 + -7

Combine like terms: 21 + -7 = 14
-1y = 14

Divide each side by '-1'.
y = -14

Simplifying
y = -14

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