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Simplifying 5(y + -2) = 8y + -4 + 3y + -2y Reorder the terms: 5(-2 + y) = 8y + -4 + 3y + -2y (-2 * 5 + y * 5) = 8y + -4 + 3y + -2y (-10 + 5y) = 8y + -4 + 3y + -2y Reorder the terms: -10 + 5y = -4 + 8y + 3y + -2y Combine like terms: 8y + 3y = 11y -10 + 5y = -4 + 11y + -2y Combine like terms: 11y + -2y = 9y -10 + 5y = -4 + 9y Solving -10 + 5y = -4 + 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. -10 + 5y + -9y = -4 + 9y + -9y Combine like terms: 5y + -9y = -4y -10 + -4y = -4 + 9y + -9y Combine like terms: 9y + -9y = 0 -10 + -4y = -4 + 0 -10 + -4y = -4 Add '10' to each side of the equation. -10 + 10 + -4y = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = -4 + 10 -4y = -4 + 10 Combine like terms: -4 + 10 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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