4(y+2)=-9y+21

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Solution for 4(y+2)=-9y+21 equation:


Simplifying
4(y + 2) = -9y + 21

Reorder the terms:
4(2 + y) = -9y + 21
(2 * 4 + y * 4) = -9y + 21
(8 + 4y) = -9y + 21

Reorder the terms:
8 + 4y = 21 + -9y

Solving
8 + 4y = 21 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
8 + 4y + 9y = 21 + -9y + 9y

Combine like terms: 4y + 9y = 13y
8 + 13y = 21 + -9y + 9y

Combine like terms: -9y + 9y = 0
8 + 13y = 21 + 0
8 + 13y = 21

Add '-8' to each side of the equation.
8 + -8 + 13y = 21 + -8

Combine like terms: 8 + -8 = 0
0 + 13y = 21 + -8
13y = 21 + -8

Combine like terms: 21 + -8 = 13
13y = 13

Divide each side by '13'.
y = 1

Simplifying
y = 1

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