7y+45=5(y+7)

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Solution for 7y+45=5(y+7) equation:


Simplifying
7y + 45 = 5(y + 7)

Reorder the terms:
45 + 7y = 5(y + 7)

Reorder the terms:
45 + 7y = 5(7 + y)
45 + 7y = (7 * 5 + y * 5)
45 + 7y = (35 + 5y)

Solving
45 + 7y = 35 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
45 + 7y + -5y = 35 + 5y + -5y

Combine like terms: 7y + -5y = 2y
45 + 2y = 35 + 5y + -5y

Combine like terms: 5y + -5y = 0
45 + 2y = 35 + 0
45 + 2y = 35

Add '-45' to each side of the equation.
45 + -45 + 2y = 35 + -45

Combine like terms: 45 + -45 = 0
0 + 2y = 35 + -45
2y = 35 + -45

Combine like terms: 35 + -45 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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