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Simplifying 5(y + -2) + -2(2y + 3) = 5y + -4 Reorder the terms: 5(-2 + y) + -2(2y + 3) = 5y + -4 (-2 * 5 + y * 5) + -2(2y + 3) = 5y + -4 (-10 + 5y) + -2(2y + 3) = 5y + -4 Reorder the terms: -10 + 5y + -2(3 + 2y) = 5y + -4 -10 + 5y + (3 * -2 + 2y * -2) = 5y + -4 -10 + 5y + (-6 + -4y) = 5y + -4 Reorder the terms: -10 + -6 + 5y + -4y = 5y + -4 Combine like terms: -10 + -6 = -16 -16 + 5y + -4y = 5y + -4 Combine like terms: 5y + -4y = 1y -16 + 1y = 5y + -4 Reorder the terms: -16 + 1y = -4 + 5y Solving -16 + 1y = -4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -16 + 1y + -5y = -4 + 5y + -5y Combine like terms: 1y + -5y = -4y -16 + -4y = -4 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + -4y = -4 + 0 -16 + -4y = -4 Add '16' to each side of the equation. -16 + 16 + -4y = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -4y = -4 + 16 -4y = -4 + 16 Combine like terms: -4 + 16 = 12 -4y = 12 Divide each side by '-4'. y = -3 Simplifying y = -3
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