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Simplifying 6(y + -4) + -5 = -7(-3y + 2) + -3y Reorder the terms: 6(-4 + y) + -5 = -7(-3y + 2) + -3y (-4 * 6 + y * 6) + -5 = -7(-3y + 2) + -3y (-24 + 6y) + -5 = -7(-3y + 2) + -3y Reorder the terms: -24 + -5 + 6y = -7(-3y + 2) + -3y Combine like terms: -24 + -5 = -29 -29 + 6y = -7(-3y + 2) + -3y Reorder the terms: -29 + 6y = -7(2 + -3y) + -3y -29 + 6y = (2 * -7 + -3y * -7) + -3y -29 + 6y = (-14 + 21y) + -3y Combine like terms: 21y + -3y = 18y -29 + 6y = -14 + 18y Solving -29 + 6y = -14 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -29 + 6y + -18y = -14 + 18y + -18y Combine like terms: 6y + -18y = -12y -29 + -12y = -14 + 18y + -18y Combine like terms: 18y + -18y = 0 -29 + -12y = -14 + 0 -29 + -12y = -14 Add '29' to each side of the equation. -29 + 29 + -12y = -14 + 29 Combine like terms: -29 + 29 = 0 0 + -12y = -14 + 29 -12y = -14 + 29 Combine like terms: -14 + 29 = 15 -12y = 15 Divide each side by '-12'. y = -1.25 Simplifying y = -1.25
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