4(y+7)=3y-5

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Solution for 4(y+7)=3y-5 equation:


Simplifying
4(y + 7) = 3y + -5

Reorder the terms:
4(7 + y) = 3y + -5
(7 * 4 + y * 4) = 3y + -5
(28 + 4y) = 3y + -5

Reorder the terms:
28 + 4y = -5 + 3y

Solving
28 + 4y = -5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
28 + 4y + -3y = -5 + 3y + -3y

Combine like terms: 4y + -3y = 1y
28 + 1y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
28 + 1y = -5 + 0
28 + 1y = -5

Add '-28' to each side of the equation.
28 + -28 + 1y = -5 + -28

Combine like terms: 28 + -28 = 0
0 + 1y = -5 + -28
1y = -5 + -28

Combine like terms: -5 + -28 = -33
1y = -33

Divide each side by '1'.
y = -33

Simplifying
y = -33

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