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Simplifying 4(y + -7) + -7 = -5(-4y + 9) + -8y Reorder the terms: 4(-7 + y) + -7 = -5(-4y + 9) + -8y (-7 * 4 + y * 4) + -7 = -5(-4y + 9) + -8y (-28 + 4y) + -7 = -5(-4y + 9) + -8y Reorder the terms: -28 + -7 + 4y = -5(-4y + 9) + -8y Combine like terms: -28 + -7 = -35 -35 + 4y = -5(-4y + 9) + -8y Reorder the terms: -35 + 4y = -5(9 + -4y) + -8y -35 + 4y = (9 * -5 + -4y * -5) + -8y -35 + 4y = (-45 + 20y) + -8y Combine like terms: 20y + -8y = 12y -35 + 4y = -45 + 12y Solving -35 + 4y = -45 + 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. -35 + 4y + -12y = -45 + 12y + -12y Combine like terms: 4y + -12y = -8y -35 + -8y = -45 + 12y + -12y Combine like terms: 12y + -12y = 0 -35 + -8y = -45 + 0 -35 + -8y = -45 Add '35' to each side of the equation. -35 + 35 + -8y = -45 + 35 Combine like terms: -35 + 35 = 0 0 + -8y = -45 + 35 -8y = -45 + 35 Combine like terms: -45 + 35 = -10 -8y = -10 Divide each side by '-8'. y = 1.25 Simplifying y = 1.25
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