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Simplifying 4(y + -3) + -6y + 3 = 2(6y + 3) + -5y + 3 Reorder the terms: 4(-3 + y) + -6y + 3 = 2(6y + 3) + -5y + 3 (-3 * 4 + y * 4) + -6y + 3 = 2(6y + 3) + -5y + 3 (-12 + 4y) + -6y + 3 = 2(6y + 3) + -5y + 3 Reorder the terms: -12 + 3 + 4y + -6y = 2(6y + 3) + -5y + 3 Combine like terms: -12 + 3 = -9 -9 + 4y + -6y = 2(6y + 3) + -5y + 3 Combine like terms: 4y + -6y = -2y -9 + -2y = 2(6y + 3) + -5y + 3 Reorder the terms: -9 + -2y = 2(3 + 6y) + -5y + 3 -9 + -2y = (3 * 2 + 6y * 2) + -5y + 3 -9 + -2y = (6 + 12y) + -5y + 3 Reorder the terms: -9 + -2y = 6 + 3 + 12y + -5y Combine like terms: 6 + 3 = 9 -9 + -2y = 9 + 12y + -5y Combine like terms: 12y + -5y = 7y -9 + -2y = 9 + 7y Solving -9 + -2y = 9 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -9 + -2y + -7y = 9 + 7y + -7y Combine like terms: -2y + -7y = -9y -9 + -9y = 9 + 7y + -7y Combine like terms: 7y + -7y = 0 -9 + -9y = 9 + 0 -9 + -9y = 9 Add '9' to each side of the equation. -9 + 9 + -9y = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -9y = 9 + 9 -9y = 9 + 9 Combine like terms: 9 + 9 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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