4(y+2)-5y=7

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Solution for 4(y+2)-5y=7 equation: 


Simplifying
4(y + 2) + -5y = 7

Reorder the terms:
4(2 + y) + -5y = 7
(2 * 4 + y * 4) + -5y = 7
(8 + 4y) + -5y = 7

Combine like terms: 4y + -5y = -1y
8 + -1y = 7

Solving
8 + -1y = 7

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 7 + -8
-1y = 7 + -8

Combine like terms: 7 + -8 = -1
-1y = -1

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

Simplifying
y = 1

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