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Simplifying -6(-4y + 6) + -5y = 4(y + -3) + -6 Reorder the terms: -6(6 + -4y) + -5y = 4(y + -3) + -6 (6 * -6 + -4y * -6) + -5y = 4(y + -3) + -6 (-36 + 24y) + -5y = 4(y + -3) + -6 Combine like terms: 24y + -5y = 19y -36 + 19y = 4(y + -3) + -6 Reorder the terms: -36 + 19y = 4(-3 + y) + -6 -36 + 19y = (-3 * 4 + y * 4) + -6 -36 + 19y = (-12 + 4y) + -6 Reorder the terms: -36 + 19y = -12 + -6 + 4y Combine like terms: -12 + -6 = -18 -36 + 19y = -18 + 4y Solving -36 + 19y = -18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -36 + 19y + -4y = -18 + 4y + -4y Combine like terms: 19y + -4y = 15y -36 + 15y = -18 + 4y + -4y Combine like terms: 4y + -4y = 0 -36 + 15y = -18 + 0 -36 + 15y = -18 Add '36' to each side of the equation. -36 + 36 + 15y = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 15y = -18 + 36 15y = -18 + 36 Combine like terms: -18 + 36 = 18 15y = 18 Divide each side by '15'. y = 1.2 Simplifying y = 1.2
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