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Simplifying -4(3y + 1) + -3(3 + -1y) = 3(5y + 1) + -7 Reorder the terms: -4(1 + 3y) + -3(3 + -1y) = 3(5y + 1) + -7 (1 * -4 + 3y * -4) + -3(3 + -1y) = 3(5y + 1) + -7 (-4 + -12y) + -3(3 + -1y) = 3(5y + 1) + -7 -4 + -12y + (3 * -3 + -1y * -3) = 3(5y + 1) + -7 -4 + -12y + (-9 + 3y) = 3(5y + 1) + -7 Reorder the terms: -4 + -9 + -12y + 3y = 3(5y + 1) + -7 Combine like terms: -4 + -9 = -13 -13 + -12y + 3y = 3(5y + 1) + -7 Combine like terms: -12y + 3y = -9y -13 + -9y = 3(5y + 1) + -7 Reorder the terms: -13 + -9y = 3(1 + 5y) + -7 -13 + -9y = (1 * 3 + 5y * 3) + -7 -13 + -9y = (3 + 15y) + -7 Reorder the terms: -13 + -9y = 3 + -7 + 15y Combine like terms: 3 + -7 = -4 -13 + -9y = -4 + 15y Solving -13 + -9y = -4 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -13 + -9y + -15y = -4 + 15y + -15y Combine like terms: -9y + -15y = -24y -13 + -24y = -4 + 15y + -15y Combine like terms: 15y + -15y = 0 -13 + -24y = -4 + 0 -13 + -24y = -4 Add '13' to each side of the equation. -13 + 13 + -24y = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -24y = -4 + 13 -24y = -4 + 13 Combine like terms: -4 + 13 = 9 -24y = 9 Divide each side by '-24'. y = -0.375 Simplifying y = -0.375
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