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Simplifying 3(y + -7) + -2 = -2(-6y + 4) + -3y Reorder the terms: 3(-7 + y) + -2 = -2(-6y + 4) + -3y (-7 * 3 + y * 3) + -2 = -2(-6y + 4) + -3y (-21 + 3y) + -2 = -2(-6y + 4) + -3y Reorder the terms: -21 + -2 + 3y = -2(-6y + 4) + -3y Combine like terms: -21 + -2 = -23 -23 + 3y = -2(-6y + 4) + -3y Reorder the terms: -23 + 3y = -2(4 + -6y) + -3y -23 + 3y = (4 * -2 + -6y * -2) + -3y -23 + 3y = (-8 + 12y) + -3y Combine like terms: 12y + -3y = 9y -23 + 3y = -8 + 9y Solving -23 + 3y = -8 + 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. -23 + 3y + -9y = -8 + 9y + -9y Combine like terms: 3y + -9y = -6y -23 + -6y = -8 + 9y + -9y Combine like terms: 9y + -9y = 0 -23 + -6y = -8 + 0 -23 + -6y = -8 Add '23' to each side of the equation. -23 + 23 + -6y = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -6y = -8 + 23 -6y = -8 + 23 Combine like terms: -8 + 23 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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