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Simplifying 6(y + -12) + 12 = 4(2y + -15) + -24 Reorder the terms: 6(-12 + y) + 12 = 4(2y + -15) + -24 (-12 * 6 + y * 6) + 12 = 4(2y + -15) + -24 (-72 + 6y) + 12 = 4(2y + -15) + -24 Reorder the terms: -72 + 12 + 6y = 4(2y + -15) + -24 Combine like terms: -72 + 12 = -60 -60 + 6y = 4(2y + -15) + -24 Reorder the terms: -60 + 6y = 4(-15 + 2y) + -24 -60 + 6y = (-15 * 4 + 2y * 4) + -24 -60 + 6y = (-60 + 8y) + -24 Reorder the terms: -60 + 6y = -60 + -24 + 8y Combine like terms: -60 + -24 = -84 -60 + 6y = -84 + 8y Solving -60 + 6y = -84 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -60 + 6y + -8y = -84 + 8y + -8y Combine like terms: 6y + -8y = -2y -60 + -2y = -84 + 8y + -8y Combine like terms: 8y + -8y = 0 -60 + -2y = -84 + 0 -60 + -2y = -84 Add '60' to each side of the equation. -60 + 60 + -2y = -84 + 60 Combine like terms: -60 + 60 = 0 0 + -2y = -84 + 60 -2y = -84 + 60 Combine like terms: -84 + 60 = -24 -2y = -24 Divide each side by '-2'. y = 12 Simplifying y = 12
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