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Simplifying 5(y + -6) + -4 = -4(-3y + 7) + -3y Reorder the terms: 5(-6 + y) + -4 = -4(-3y + 7) + -3y (-6 * 5 + y * 5) + -4 = -4(-3y + 7) + -3y (-30 + 5y) + -4 = -4(-3y + 7) + -3y Reorder the terms: -30 + -4 + 5y = -4(-3y + 7) + -3y Combine like terms: -30 + -4 = -34 -34 + 5y = -4(-3y + 7) + -3y Reorder the terms: -34 + 5y = -4(7 + -3y) + -3y -34 + 5y = (7 * -4 + -3y * -4) + -3y -34 + 5y = (-28 + 12y) + -3y Combine like terms: 12y + -3y = 9y -34 + 5y = -28 + 9y Solving -34 + 5y = -28 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -34 + 5y + -9y = -28 + 9y + -9y Combine like terms: 5y + -9y = -4y -34 + -4y = -28 + 9y + -9y Combine like terms: 9y + -9y = 0 -34 + -4y = -28 + 0 -34 + -4y = -28 Add '34' to each side of the equation. -34 + 34 + -4y = -28 + 34 Combine like terms: -34 + 34 = 0 0 + -4y = -28 + 34 -4y = -28 + 34 Combine like terms: -28 + 34 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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