5y+45=7(y+9)

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Solution for 5y+45=7(y+9) equation:


Simplifying
5y + 45 = 7(y + 9)

Reorder the terms:
45 + 5y = 7(y + 9)

Reorder the terms:
45 + 5y = 7(9 + y)
45 + 5y = (9 * 7 + y * 7)
45 + 5y = (63 + 7y)

Solving
45 + 5y = 63 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
45 + 5y + -7y = 63 + 7y + -7y

Combine like terms: 5y + -7y = -2y
45 + -2y = 63 + 7y + -7y

Combine like terms: 7y + -7y = 0
45 + -2y = 63 + 0
45 + -2y = 63

Add '-45' to each side of the equation.
45 + -45 + -2y = 63 + -45

Combine like terms: 45 + -45 = 0
0 + -2y = 63 + -45
-2y = 63 + -45

Combine like terms: 63 + -45 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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