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Simplifying 2(y + -5) = 4(1.5 + y) Reorder the terms: 2(-5 + y) = 4(1.5 + y) (-5 * 2 + y * 2) = 4(1.5 + y) (-10 + 2y) = 4(1.5 + y) -10 + 2y = (1.5 * 4 + y * 4) -10 + 2y = (6 + 4y) Solving -10 + 2y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10 + 2y + -4y = 6 + 4y + -4y Combine like terms: 2y + -4y = -2y -10 + -2y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + -2y = 6 + 0 -10 + -2y = 6 Add '10' to each side of the equation. -10 + 10 + -2y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = 6 + 10 -2y = 6 + 10 Combine like terms: 6 + 10 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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