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

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


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

Reorder the terms:
-5y + 2(1 + 2y) = 2(5y + -1) + -7
-5y + (1 * 2 + 2y * 2) = 2(5y + -1) + -7
-5y + (2 + 4y) = 2(5y + -1) + -7

Reorder the terms:
2 + -5y + 4y = 2(5y + -1) + -7

Combine like terms: -5y + 4y = -1y
2 + -1y = 2(5y + -1) + -7

Reorder the terms:
2 + -1y = 2(-1 + 5y) + -7
2 + -1y = (-1 * 2 + 5y * 2) + -7
2 + -1y = (-2 + 10y) + -7

Reorder the terms:
2 + -1y = -2 + -7 + 10y

Combine like terms: -2 + -7 = -9
2 + -1y = -9 + 10y

Solving
2 + -1y = -9 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
2 + -1y + -10y = -9 + 10y + -10y

Combine like terms: -1y + -10y = -11y
2 + -11y = -9 + 10y + -10y

Combine like terms: 10y + -10y = 0
2 + -11y = -9 + 0
2 + -11y = -9

Add '-2' to each side of the equation.
2 + -2 + -11y = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -11y = -9 + -2
-11y = -9 + -2

Combine like terms: -9 + -2 = -11
-11y = -11

Divide each side by '-11'.
y = 1

Simplifying
y = 1

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