5(y+1)+2=4(y+2)-6

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Solution for 5(y+1)+2=4(y+2)-6 equation:


Simplifying
5(y + 1) + 2 = 4(y + 2) + -6

Reorder the terms:
5(1 + y) + 2 = 4(y + 2) + -6
(1 * 5 + y * 5) + 2 = 4(y + 2) + -6
(5 + 5y) + 2 = 4(y + 2) + -6

Reorder the terms:
5 + 2 + 5y = 4(y + 2) + -6

Combine like terms: 5 + 2 = 7
7 + 5y = 4(y + 2) + -6

Reorder the terms:
7 + 5y = 4(2 + y) + -6
7 + 5y = (2 * 4 + y * 4) + -6
7 + 5y = (8 + 4y) + -6

Reorder the terms:
7 + 5y = 8 + -6 + 4y

Combine like terms: 8 + -6 = 2
7 + 5y = 2 + 4y

Solving
7 + 5y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
7 + 5y + -4y = 2 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
7 + 1y = 2 + 0
7 + 1y = 2

Add '-7' to each side of the equation.
7 + -7 + 1y = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 2 + -7
1y = 2 + -7

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

Divide each side by '1'.
y = -5

Simplifying
y = -5

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