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Simplifying 3(4y + -4) + -24 = 5(2y + -2) + 12 Reorder the terms: 3(-4 + 4y) + -24 = 5(2y + -2) + 12 (-4 * 3 + 4y * 3) + -24 = 5(2y + -2) + 12 (-12 + 12y) + -24 = 5(2y + -2) + 12 Reorder the terms: -12 + -24 + 12y = 5(2y + -2) + 12 Combine like terms: -12 + -24 = -36 -36 + 12y = 5(2y + -2) + 12 Reorder the terms: -36 + 12y = 5(-2 + 2y) + 12 -36 + 12y = (-2 * 5 + 2y * 5) + 12 -36 + 12y = (-10 + 10y) + 12 Reorder the terms: -36 + 12y = -10 + 12 + 10y Combine like terms: -10 + 12 = 2 -36 + 12y = 2 + 10y Solving -36 + 12y = 2 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -36 + 12y + -10y = 2 + 10y + -10y Combine like terms: 12y + -10y = 2y -36 + 2y = 2 + 10y + -10y Combine like terms: 10y + -10y = 0 -36 + 2y = 2 + 0 -36 + 2y = 2 Add '36' to each side of the equation. -36 + 36 + 2y = 2 + 36 Combine like terms: -36 + 36 = 0 0 + 2y = 2 + 36 2y = 2 + 36 Combine like terms: 2 + 36 = 38 2y = 38 Divide each side by '2'. y = 19 Simplifying y = 19
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