4(y+2)+8=7y-3

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Solution for 4(y+2)+8=7y-3 equation:


Simplifying
4(y + 2) + 8 = 7y + -3

Reorder the terms:
4(2 + y) + 8 = 7y + -3
(2 * 4 + y * 4) + 8 = 7y + -3
(8 + 4y) + 8 = 7y + -3

Reorder the terms:
8 + 8 + 4y = 7y + -3

Combine like terms: 8 + 8 = 16
16 + 4y = 7y + -3

Reorder the terms:
16 + 4y = -3 + 7y

Solving
16 + 4y = -3 + 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.
16 + 4y + -7y = -3 + 7y + -7y

Combine like terms: 4y + -7y = -3y
16 + -3y = -3 + 7y + -7y

Combine like terms: 7y + -7y = 0
16 + -3y = -3 + 0
16 + -3y = -3

Add '-16' to each side of the equation.
16 + -16 + -3y = -3 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = -3 + -16
-3y = -3 + -16

Combine like terms: -3 + -16 = -19
-3y = -19

Divide each side by '-3'.
y = 6.333333333

Simplifying
y = 6.333333333

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