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Simplifying 6(y + -1) + -3 = -4(-5y + 6) + -2y Reorder the terms: 6(-1 + y) + -3 = -4(-5y + 6) + -2y (-1 * 6 + y * 6) + -3 = -4(-5y + 6) + -2y (-6 + 6y) + -3 = -4(-5y + 6) + -2y Reorder the terms: -6 + -3 + 6y = -4(-5y + 6) + -2y Combine like terms: -6 + -3 = -9 -9 + 6y = -4(-5y + 6) + -2y Reorder the terms: -9 + 6y = -4(6 + -5y) + -2y -9 + 6y = (6 * -4 + -5y * -4) + -2y -9 + 6y = (-24 + 20y) + -2y Combine like terms: 20y + -2y = 18y -9 + 6y = -24 + 18y Solving -9 + 6y = -24 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -9 + 6y + -18y = -24 + 18y + -18y Combine like terms: 6y + -18y = -12y -9 + -12y = -24 + 18y + -18y Combine like terms: 18y + -18y = 0 -9 + -12y = -24 + 0 -9 + -12y = -24 Add '9' to each side of the equation. -9 + 9 + -12y = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -12y = -24 + 9 -12y = -24 + 9 Combine like terms: -24 + 9 = -15 -12y = -15 Divide each side by '-12'. y = 1.25 Simplifying y = 1.25
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