0.32(y+12)+5.21=0.24(2y-8)-0.07

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Solution for 0.32(y+12)+5.21=0.24(2y-8)-0.07 equation:


Simplifying
0.32(y + 12) + 5.21 = 0.24(2y + -8) + -0.07

Reorder the terms:
0.32(12 + y) + 5.21 = 0.24(2y + -8) + -0.07
(12 * 0.32 + y * 0.32) + 5.21 = 0.24(2y + -8) + -0.07
(3.84 + 0.32y) + 5.21 = 0.24(2y + -8) + -0.07

Reorder the terms:
3.84 + 5.21 + 0.32y = 0.24(2y + -8) + -0.07

Combine like terms: 3.84 + 5.21 = 9.05
9.05 + 0.32y = 0.24(2y + -8) + -0.07

Reorder the terms:
9.05 + 0.32y = 0.24(-8 + 2y) + -0.07
9.05 + 0.32y = (-8 * 0.24 + 2y * 0.24) + -0.07
9.05 + 0.32y = (-1.92 + 0.48y) + -0.07

Reorder the terms:
9.05 + 0.32y = -1.92 + -0.07 + 0.48y

Combine like terms: -1.92 + -0.07 = -1.99
9.05 + 0.32y = -1.99 + 0.48y

Solving
9.05 + 0.32y = -1.99 + 0.48y

Solving for variable 'y'.

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

Add '-0.48y' to each side of the equation.
9.05 + 0.32y + -0.48y = -1.99 + 0.48y + -0.48y

Combine like terms: 0.32y + -0.48y = -0.16y
9.05 + -0.16y = -1.99 + 0.48y + -0.48y

Combine like terms: 0.48y + -0.48y = 0.00
9.05 + -0.16y = -1.99 + 0.00
9.05 + -0.16y = -1.99

Add '-9.05' to each side of the equation.
9.05 + -9.05 + -0.16y = -1.99 + -9.05

Combine like terms: 9.05 + -9.05 = 0.00
0.00 + -0.16y = -1.99 + -9.05
-0.16y = -1.99 + -9.05

Combine like terms: -1.99 + -9.05 = -11.04
-0.16y = -11.04

Divide each side by '-0.16'.
y = 69

Simplifying
y = 69

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