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Simplifying -4y + 8 = 4(2y + -2) + -16 + 8y Reorder the terms: 8 + -4y = 4(2y + -2) + -16 + 8y Reorder the terms: 8 + -4y = 4(-2 + 2y) + -16 + 8y 8 + -4y = (-2 * 4 + 2y * 4) + -16 + 8y 8 + -4y = (-8 + 8y) + -16 + 8y Reorder the terms: 8 + -4y = -8 + -16 + 8y + 8y Combine like terms: -8 + -16 = -24 8 + -4y = -24 + 8y + 8y Combine like terms: 8y + 8y = 16y 8 + -4y = -24 + 16y Solving 8 + -4y = -24 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 8 + -4y + -16y = -24 + 16y + -16y Combine like terms: -4y + -16y = -20y 8 + -20y = -24 + 16y + -16y Combine like terms: 16y + -16y = 0 8 + -20y = -24 + 0 8 + -20y = -24 Add '-8' to each side of the equation. 8 + -8 + -20y = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -20y = -24 + -8 -20y = -24 + -8 Combine like terms: -24 + -8 = -32 -20y = -32 Divide each side by '-20'. y = 1.6 Simplifying y = 1.6
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