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Simplifying -3(4y + 4) + -14 = 8(y + 5) + 4y Reorder the terms: -3(4 + 4y) + -14 = 8(y + 5) + 4y (4 * -3 + 4y * -3) + -14 = 8(y + 5) + 4y (-12 + -12y) + -14 = 8(y + 5) + 4y Reorder the terms: -12 + -14 + -12y = 8(y + 5) + 4y Combine like terms: -12 + -14 = -26 -26 + -12y = 8(y + 5) + 4y Reorder the terms: -26 + -12y = 8(5 + y) + 4y -26 + -12y = (5 * 8 + y * 8) + 4y -26 + -12y = (40 + 8y) + 4y Combine like terms: 8y + 4y = 12y -26 + -12y = 40 + 12y Solving -26 + -12y = 40 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -26 + -12y + -12y = 40 + 12y + -12y Combine like terms: -12y + -12y = -24y -26 + -24y = 40 + 12y + -12y Combine like terms: 12y + -12y = 0 -26 + -24y = 40 + 0 -26 + -24y = 40 Add '26' to each side of the equation. -26 + 26 + -24y = 40 + 26 Combine like terms: -26 + 26 = 0 0 + -24y = 40 + 26 -24y = 40 + 26 Combine like terms: 40 + 26 = 66 -24y = 66 Divide each side by '-24'. y = -2.75 Simplifying y = -2.75
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