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Simplifying 2(y + -2) = 8y + 4 + -2(-5y + -5) Reorder the terms: 2(-2 + y) = 8y + 4 + -2(-5y + -5) (-2 * 2 + y * 2) = 8y + 4 + -2(-5y + -5) (-4 + 2y) = 8y + 4 + -2(-5y + -5) Reorder the terms: -4 + 2y = 8y + 4 + -2(-5 + -5y) -4 + 2y = 8y + 4 + (-5 * -2 + -5y * -2) -4 + 2y = 8y + 4 + (10 + 10y) Reorder the terms: -4 + 2y = 4 + 10 + 8y + 10y Combine like terms: 4 + 10 = 14 -4 + 2y = 14 + 8y + 10y Combine like terms: 8y + 10y = 18y -4 + 2y = 14 + 18y Solving -4 + 2y = 14 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -4 + 2y + -18y = 14 + 18y + -18y Combine like terms: 2y + -18y = -16y -4 + -16y = 14 + 18y + -18y Combine like terms: 18y + -18y = 0 -4 + -16y = 14 + 0 -4 + -16y = 14 Add '4' to each side of the equation. -4 + 4 + -16y = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -16y = 14 + 4 -16y = 14 + 4 Combine like terms: 14 + 4 = 18 -16y = 18 Divide each side by '-16'. y = -1.125 Simplifying y = -1.125
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