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Simplifying 4(y + -6) + -9 = -4(-7y + 6) + -9y Reorder the terms: 4(-6 + y) + -9 = -4(-7y + 6) + -9y (-6 * 4 + y * 4) + -9 = -4(-7y + 6) + -9y (-24 + 4y) + -9 = -4(-7y + 6) + -9y Reorder the terms: -24 + -9 + 4y = -4(-7y + 6) + -9y Combine like terms: -24 + -9 = -33 -33 + 4y = -4(-7y + 6) + -9y Reorder the terms: -33 + 4y = -4(6 + -7y) + -9y -33 + 4y = (6 * -4 + -7y * -4) + -9y -33 + 4y = (-24 + 28y) + -9y Combine like terms: 28y + -9y = 19y -33 + 4y = -24 + 19y Solving -33 + 4y = -24 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -33 + 4y + -19y = -24 + 19y + -19y Combine like terms: 4y + -19y = -15y -33 + -15y = -24 + 19y + -19y Combine like terms: 19y + -19y = 0 -33 + -15y = -24 + 0 -33 + -15y = -24 Add '33' to each side of the equation. -33 + 33 + -15y = -24 + 33 Combine like terms: -33 + 33 = 0 0 + -15y = -24 + 33 -15y = -24 + 33 Combine like terms: -24 + 33 = 9 -15y = 9 Divide each side by '-15'. y = -0.6 Simplifying y = -0.6
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