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Simplifying -55 + 21y + 7 = 6(4y + -2) + -9 Reorder the terms: -55 + 7 + 21y = 6(4y + -2) + -9 Combine like terms: -55 + 7 = -48 -48 + 21y = 6(4y + -2) + -9 Reorder the terms: -48 + 21y = 6(-2 + 4y) + -9 -48 + 21y = (-2 * 6 + 4y * 6) + -9 -48 + 21y = (-12 + 24y) + -9 Reorder the terms: -48 + 21y = -12 + -9 + 24y Combine like terms: -12 + -9 = -21 -48 + 21y = -21 + 24y Solving -48 + 21y = -21 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -48 + 21y + -24y = -21 + 24y + -24y Combine like terms: 21y + -24y = -3y -48 + -3y = -21 + 24y + -24y Combine like terms: 24y + -24y = 0 -48 + -3y = -21 + 0 -48 + -3y = -21 Add '48' to each side of the equation. -48 + 48 + -3y = -21 + 48 Combine like terms: -48 + 48 = 0 0 + -3y = -21 + 48 -3y = -21 + 48 Combine like terms: -21 + 48 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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