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Simplifying 5(3y + -2) = -2(y + -12) Reorder the terms: 5(-2 + 3y) = -2(y + -12) (-2 * 5 + 3y * 5) = -2(y + -12) (-10 + 15y) = -2(y + -12) Reorder the terms: -10 + 15y = -2(-12 + y) -10 + 15y = (-12 * -2 + y * -2) -10 + 15y = (24 + -2y) Solving -10 + 15y = 24 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -10 + 15y + 2y = 24 + -2y + 2y Combine like terms: 15y + 2y = 17y -10 + 17y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 -10 + 17y = 24 + 0 -10 + 17y = 24 Add '10' to each side of the equation. -10 + 10 + 17y = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 17y = 24 + 10 17y = 24 + 10 Combine like terms: 24 + 10 = 34 17y = 34 Divide each side by '17'. y = 2 Simplifying y = 2
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